Quantum Chaos with Power-law Interactions

I will present a theory of quantum chaos and quantum information spreading in systems with long-range power-law interactions. Depending on the exponent of the power-law interactions, our theory predicts that information can spread ballistically, super-ballistically, or even exponentially fast. I will present a large-N mean field model in which our proposed phase diagram can be explicitly checked. Finally, I will argue that systems with dipolar interactions are a natural experimental testbed and I will discuss our theory in light of existing nuclear magnetic resonance data on adamantane. Based on work with Tianci Zhou, Xiao Chen, Andrew Guo, and Shenglong Xu.